19448000 has 224 divisors, whose sum is σ = 59911488. Its totient is φ = 6144000.

The previous prime is 19447991. The next prime is 19448021. The reversal of 19448000 is 84491.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1143992 + ... + 1144008.

It is an arithmetic number, because the mean of its divisors is an integer number (267462).

Almost surely, 2^19448000 is an apocalyptic number.

19448000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29955744).

19448000 is an abundant number, since it is smaller than the sum of its proper divisors (40463488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19448000 is a wasteful number, since it uses less digits than its factorization.

19448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 19448000 is about 4409.9886621169. The cubic root of 19448000 is about 268.9211637247.

The spelling of 19448000 in words is "nineteen million, four hundred forty-eight thousand".